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Simplifying 90 = 12t + -4.9t2 Solving 90 = 12t + -4.9t2 Solving for variable 't'. Reorder the terms: 90 + -12t + 4.9t2 = 12t + -12t + -4.9t2 + 4.9t2 Combine like terms: 12t + -12t = 0 90 + -12t + 4.9t2 = 0 + -4.9t2 + 4.9t2 90 + -12t + 4.9t2 = -4.9t2 + 4.9t2 Combine like terms: -4.9t2 + 4.9t2 = 0.0 90 + -12t + 4.9t2 = 0.0 Begin completing the square. Divide all terms by 4.9 the coefficient of the squared term: Divide each side by '4.9'. 18.36734694 + -2.448979592t + t2 = 0 Move the constant term to the right: Add '-18.36734694' to each side of the equation. 18.36734694 + -2.448979592t + -18.36734694 + t2 = 0 + -18.36734694 Reorder the terms: 18.36734694 + -18.36734694 + -2.448979592t + t2 = 0 + -18.36734694 Combine like terms: 18.36734694 + -18.36734694 = 0.00000000 0.00000000 + -2.448979592t + t2 = 0 + -18.36734694 -2.448979592t + t2 = 0 + -18.36734694 Combine like terms: 0 + -18.36734694 = -18.36734694 -2.448979592t + t2 = -18.36734694 The t term is -2.448979592t. Take half its coefficient (-1.224489796). Square it (1.499375261) and add it to both sides. Add '1.499375261' to each side of the equation. -2.448979592t + 1.499375261 + t2 = -18.36734694 + 1.499375261 Reorder the terms: 1.499375261 + -2.448979592t + t2 = -18.36734694 + 1.499375261 Combine like terms: -18.36734694 + 1.499375261 = -16.867971679 1.499375261 + -2.448979592t + t2 = -16.867971679 Factor a perfect square on the left side: (t + -1.224489796)(t + -1.224489796) = -16.867971679 Can't calculate square root of the right side. The solution to this equation could not be determined.
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